Consider a physical system formed by a symmetrical rigid body with a circular profile of radius R. This rolls without sliding on a horizontal surface.   Which of the following statements is not correct? a. The velocity at the point of contact of the rigid body with the horizontal surface is zero. b. The speed of the center of mass of the rigid body is ωR c. The friction force of the rigid body with the ground is kinetic. d. The acceleration of the center of mass of the rigid body is αR

Q: A torque of 36.8 N · m is applied to an initially motionless wheel which rotates around a fixed…

A: torque = 36.8 N initial angular speed = 0 rad/sfinal angular speed = 10.1 rad/sec t1 = 6.2s a) using…

Q: A car with a total mass of 1000 kg has four wheels, each of 10 kg. When the car is moving (rolling…

A: Kinetic energy of car =12Mcarv2 kinetic energy of four wheels =4×12Iwheelω2

Q: 2. You are to compare the gyradius of four (4) solid, homogeneous iron cylinders about their…

A:

Q: In the figure below, a constant horizontal force F app of magnitude 13 N is applied to a uniform…

A:

Q: A uniform, solid, 100-kg cylinder with a diameter of 1.0 m is mounted so it is free to rotate about…

A:

Q: A hollow sphere of radius 0.230 m, with rotational inertia l = 0.0466 kg-m² about a line through its…

A: Given values: Radius, r=0.230 m inertia, I=0.0466 kg m2 θ=31.7° Kinetic energy, K.E. =14.0 J

Q: Problem 1. A uniform, hollow, cylindrical spool has inside radius R/2, outside radius R, and mass M.…

A: The spool is an example of a hollow cylinder with inner radius R1 and outer radius R2.Let the…

Q: 3. The four particles in the figure are connected by rigid rods of negligible mass. The origin is at…

A:

Q: student measures the acceleration of a disk with 12 cm radius. She attaches a 200 g mass to the…

A: * as per guild lines only 1 question is solved here*  Given  Tension is due to weight of the object.…

Q: 2. A thin uniform rectangular plate (lamina) of mass m and dimensions 2a and a. Choose a coordinate…

A: Answer :-      We know that Mass :-    Where   is the elemental area

Q: In the figure, a 7.84 g bullet is fired into a 0.418 kg block attached to the end of a 0.972 m…

A: Given:Mbullet=7.84×10-3 kgMblock=0.418 kgLrod=0.972 mMrod=0.453 kgIrod=0.0636 kg.m2Find A) what then…

Q: P18. The track shown in the figure consists of two parts: the left part has rough surface, the right…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub parts for…

Q: 3. A disk and a sphere, each of mass m and radius r, are released from rest on a ramp of incline 0.…

A: concept:

Q: A torque of 35.3 N · m is applied to an initially motionless wheel which rotates around a fixed…

A: torque applied= 35.3 Nm Iα=35.3Nm time given=5.80 s α=ωf-ωi /tα=10.3-05.80   =1.775 rad/s2Iα=35.3…

Q: 2. You are to compare the gyradius of four (4) solid, homogeneous iron cylinders about their…

A: here we need to compare gyration of four solid, homogeneous cylinder.find the radius of gyration

Q: The angular momentum of a uniform solid cylinder having mass of 0.5kg and radius of 50cm about its…

A: Given Data: The mass of a cylinder is, m=0.5 kg The radius of a cylinder is, R=50 cm The angular…

Q: (a) A uniform solid disk rolls without slipping down an incline making an angle e with the…

A: A uniform solid disk is rolling down the slope without slipping. Hence friction Ffr exists to avoid…

Q: A uniform, thin, spherical shell of radius, R, and mass, m, is rolling without slipping or sliding…

A: Total kinetic energy = rotational kinetic energy + translational kinetic energy Rotational kinetic…

Q: A 42.0-cm-diameter wheel, consisting of a rim and six spokes, is constructed from a thin, rigid…

A: The given values are, d=42.0 cm=0.42 mλ=25.0 g/cm=25.0 g/cm10-3 kg1 g1 cm10-2 m=2.5 kg/mh=58.0…

Q: fish takes the bait and pulls on the line with a force of 2.0 NN . The fishing reel, which rotates…

A:

Q: 1.A spool of light cord, mass M= 3.00 kg andR = 1.00 m is unwound under a constant force, F= 6.00 i…

A: The frictional force act opposite to the applied force. The torque due to the applied force and…

Q: Consider a solid uniform sphere of radius R and mass M rolling without slipping. Which form of its…

A:

Q: In which of the following cases is angular momentum conserved? a. When the next, external torque…

A: To explain : the case where the angular momentum is conserved

Q: A torque of 36.2 N · m is applied to an initially motionless wheel which rotates around a fixed…

A:

Q: A mass m moves in a circle on a smooth horizontal plane with velocity vo at a radius Ro. The mass is…

A:

Q: (a) A uniform solid disk rolls without slipping down an incline making an angle e with the…

A: (a) The net torque on disc Tnet = I*alpha         = I*(a/R) Tweight = m*g*R*sin(theta) m*g*R*sinθ =…

Q: R Consider the above figure. The weight has a mass m = 4.7 kg, and its attached to a ligth cord…

A: Solution: Given that m = 4.7 kg M = 1.6 kg r = 8 cm

Q: The second day the same fire truck passes you is moving in a straight line at a velocity of 10i m/s…

A: In this case, two reference frames will be considered: one is associated with a rotating ladder and…

Q: Which of the following statements is FALSE? O Angular acceleration can be expressed as the torque…

A: option- none of the given choices. Statement (a) is true because angular acceleration is equal to…

Q: (a) A uniform solid disk rolls without slipping down an incline making an angle with the horizontal.…

A: Answer:  (b) aCM=12gsinθ (c) μ=tanθ3 Explaination: Moment of inertia of the solid disc ; Moment of…

Q: In the figure, a 7.42 g bullet is fıred into a 0.531 kg block attached to the end of a 0.914 m…

A: Mass of bullet =7.42g Mass block= 0.531kg Length of rod= 0.914m Mass of rod=0.909kg Moment of…

Q: A 47.0-cmcm-diameter wheel, consisting of a rim and six spokes, is constructed from a thin, rigid…

A:

Q: A uniform solid disk of radius R is set into rotation with an angular speed ωi about anaxis through…

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: 3. A 2.0 kg mass moves in the x and y plane according to r = (t² + 12t)î + (4.0t³ + 3.0)j (relative…

A:

Q: 5. A small uniform solid disk, of mass m and radius r, rolls down a circular ramp of radius R, where…

A: Solution: The disk is constrained to move in a circular ramp. The equation of constraint is given as…

Q: 4 A massless rod has three masses (each has m 10 gm) attached to it as shown in the figure below.…

A: The figure shows a massless rod with three masses (each has m 10 gm) attached to it. The rod is…

Q: A round object of radius R and mass M and center of mass moment of inertia I, with its center of…

A: The object’s initial total energy can be represented as, Here, T, R, U, m, v, I, ω, and h,…

Q: A drum rotates around its central axis at an angular velocity of 17.0 rad/s. If the drum then slows…

A:

Q: The truck shown below is initially at rest with a solid cylindrical roll of paper sitting on its…

A: Consider the acceleration of the roll with respect to the ground is a and its acceleration with…

Q: 31. A uniform solid disk of radius R S and mass M is free to rotate on Pivot a frictionless pivot…

A:

Q: A non-uniform disk of mass M and radius R has its mass distributed in such a way that the mass per…

A: Mass of disk is M and radius of disk is R. The surface mass density is given by σ(r)=br and area…

Q: 10. A particle of mass m moves along a straight line with con- QIC stant velocity v, in the x…

A:

Q: L - - D M m

A:

Q: Shown below is a small particle of mass 20 g that is moving at a speed of 10.0 m/s when it collides…

A: the moment of inertia of a cylinder about its central axis is I1=12Mr2

Q: In a manufacturing process, a large, cylindrical roller is used to flatten material fed beneath it.…

A: Part (a): The expression for the angular speed is, Substitute the values in equation (1) For the…

Q: thanks!

A: Let T be the torque on the cylinder, I be the moment of inertia of the cylinder about the point of…

Q: Suppose you start an antique car by exerting a force of 350 N on its crank for 0.16 s. Randomized…

A:

Q: A uniform, thin, spherical shell of radius, R, and mass, m, is rolling without slipping or sliding…

A: